Which of the following is TRUE about mass and weight? a. Mass is a vector quantity and weight is a scalar quantity. b. Both mass and weight are vector quantities. c. Both mass and weight are scalar quantities. d. Mass is a scalar quantity and weight is a vector quantity.

c. d. (8.1x10-km)(1.6x10-³ km) (6.5×10 kg) (3.4×10³ m³) 8 = 9.8 N/kg. 42. Gravity The force due to gravity is F = mg where a. Find the force due to gravity on a 41.63-kg object What is its mass? b. The force due to gravity on an object is 632 N. units? 43. Dimensional Analysis Pressure is measured in pas- cals, where 1 Pa = 1 kg/(m-s2). Will the following (0.55 kg)(2.1 m/s) expression give a pressure in the correct 9.8 m/s2 SECTION 3 Measurement Mastering Concepts 44. What determines the precision of a measurement? 45. How does the last digit differ from the other digits in a measurement? The McGraw-Hill Companies

QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.

2. In mechanics, force is a vector quantity and has a unit of Newtons (N). The force F₁ with a magnitude of 54.0 N is applied at an object at the origin in the direction of 25° above the negative x-axis. A second force F₂ with a magnitude of 41.0 N is applied at the same object in the direction of 68° above the positive x-axis. Determine the magnitude and direction of the resultant of the two forces.

An inclined plane has angle theta with respect to the vertical. A. Find an expression for the components in the direction of the plane. B. Find an expression for the component of gravity in the direction perpendicular to the plane. C. Sketch figures which illustrate parts a and b above; highlight and label the results.

The magnitude V1 is 6.2 and it points along the negative x axis, while the magnitude V2 is 8.0 and it points at 40 degrees counter clockwise from the positive x axis.  A. What are the x and y components of vector V1? B. What are the X and Y components of vector V2? C. Determine magnitude of the sum V1+V2 D. Determine the angle of the sum V1+V2, measured counter clockwise from the positive x axis.

The direction of force P is given by an in-plane and out-of-plane angle. The direction of force Q is given using a similar triangle that is in the yz plane.a) Find the vector forms of P and Q.b) Find the resultant force and its direction cosine angles.

1. Give a real world example of the following. A. Something that can be modeled as a vector. B. Something that can be modeled as a scaler.

A force F1 of magnitude of 5 N is directed in 25 degrees East of South, and a force F2 of magnitude of 2 N is directed in 30 degrees North of West. 1. Draw each vector force and give the magnitude and the direction. 2. Triangle Method of Adding Vectors a. Draw the resultant vector F3 = F1 + F2 . b. Calculate the magnitude and the direction of the resultant F3 .

A boat takes 3.70 hours to travel 45.0 km down a river, then 6.70 hours to return. You may want to review (Pages 91 - 92). Part A How fast is the river flowing? Express your answer with the appropriate units. μA Value Submit Units Request Answer ?